All else being equal, will a 99% confidence interval or a 90% confidence interval be wider? All else being equal, if you increase the sample size, what happens to the width of the Cl?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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a. All else being equal, will a 99% confidence interval or a 90% confidence interval be wider?
b. All else being equal, if you increase the sample size, what happens to the width of the CI?
C. Suppose that 500 students each get a sample of 40 random digits from StatCrunch. Then
each computes a 95% Cl for the proportion of all random digits from StatCrunch that are
even. What is the expected number of students who capture 50% in their confidence
interval?
d. A confidence interval for a proportion always is centered at
7/12/20
39
6.
Transcribed Image Text:a. All else being equal, will a 99% confidence interval or a 90% confidence interval be wider? b. All else being equal, if you increase the sample size, what happens to the width of the CI? C. Suppose that 500 students each get a sample of 40 random digits from StatCrunch. Then each computes a 95% Cl for the proportion of all random digits from StatCrunch that are even. What is the expected number of students who capture 50% in their confidence interval? d. A confidence interval for a proportion always is centered at 7/12/20 39 6.
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